During a survey, some people responded that they liked soccer to other sports. The ratio of the number of people who liked soccer to those who disliked it was 2 : 1.  The ratio of the number of women to the number of men who liked soccer was 3 : 7.  If 25% of the people who disliked soccer were women, what was the ratio of the number of women to the number of men chosen for the survey?

Liked		Disliked
2 u		1 u
Women	Men	Women	Men
3	7	1	3
0.6 u	1.4 u	0.25 u	0.75 u

25% = ²⁵₁₀₀ = ¹₄

Number of women who liked soccer
= ³₁₀ x 2 u
= 0.6 u

Number of men who liked soccer
= 2 u - 0.6 u
= 1.4 u

Number of women who disliked soccer
= ¹₄ x 1 u
= 0.25 u

Number of men who disliked soccer
= 1 u - 0.25 u
= 0.75 u

Total number of women
= 0.6 u + 0.25 u
= 0.85 u

Total number of men
= 1.4 u + 0.75 u
= 2.15 u

Men : Women
0.85 : 2.15 _(x20)
17 : 43

Answer(s): 17 : 43